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Amanda [17]
3 years ago
9

HelPPPNPLEASE ALGEBRA 2 !!!

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

13°. The value of theta using right triangle Trigonometry is 13°.

The reasons for the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). These are defined for the acute angle θ as follows:

Sin θ = opossite leg/hypotenuse

Cos θ = adjacent leg/hypotenuse

Tan θ = opossite leg/adjacent leg

The easiest way to solve this proble is using the reason sin θ = opossite leg/hypotenuse, where opossite leg = 11, and hypotenuse = 58.

sin θ = 11/48

θ = sin⁻¹ (11/48)

θ = 13.25°

Round to the nearest degree θ = 13°

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Answer:

a) Infinite solutions

b) No solutions

Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

If the graphs are the exact same line, there are infinite solutions.

For a):

Change the first equation into a linear one.

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Change the second equation into a linear one.

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  • 6y=-4x+12
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Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.

For b)

They are already in linear form so hurray.

y=\frac{1}{5} x+2\\y=\frac{1}{5} x+10\\

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.

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If possible step by step explanation. thank you!
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